<h2>Problem 63</h2>
<div style="color:#666;font-size:80%;">13 February 2004</div><br />
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<p>The 5-digit number, 16807=7<img src="" style="display:none;" alt="^(" /><sup>5</sup><img src="" style="display:none;" alt=")" />, is also a fifth power. Similarly, the 9-digit number, 134217728=8<img src="" style="display:none;" alt="^(" /><sup>9</sup><img src="" style="display:none;" alt=")" />, is a ninth power.</p>
<p>How many <i>n</i>-digit positive integers exist which are also an <i>n</i>th power?</p>

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